dorsal/arxiv
View SchemaCoupling curvature to a uniform magnetic field; an analytic and numerical study
| Authors | M. Encinosa |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0510103 |
| URL | https://arxiv.org/abs/quant-ph/0510103 |
| DOI | 10.1103/PhysRevA.73.012102 |
Abstract
The Schrodinger equation for an electron near an azimuthally symmetric curved surface $\Sigma$ in the presence of an arbitrary uniform magnetic field $\mathbf B$ is developed. A thin layer quantization procedure is implemented to bring the electron onto $\Sigma$, leading to the well known geometric potential $V_C \propto h^2-k$ and a second potential that couples $A_N$, the component of $\mathbf A$ normal to $\Sigma$ to mean surface curvature, as well as a term dependent on the normal derivative of $A_N$ evaluated on $\Sigma$. Numerical results in the form of ground state energies as a function of the applied field in several orientations are presented for a toroidal model.
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"abstract": "The Schrodinger equation for an electron near an azimuthally symmetric curved\nsurface $\\Sigma$ in the presence of an arbitrary uniform magnetic field\n$\\mathbf B$ is developed. A thin layer quantization procedure is implemented to\nbring the electron onto $\\Sigma$, leading to the well known geometric potential\n$V_C \\propto h^2-k$ and a second potential that couples $A_N$, the component of\n$\\mathbf A$ normal to $\\Sigma$ to mean surface curvature, as well as a term\ndependent on the normal derivative of\n $A_N$ evaluated on $\\Sigma$. Numerical results in the form of ground state\nenergies as a function of the applied field in several orientations are\npresented for a toroidal model.",
"arxiv_id": "quant-ph/0510103",
"authors": [
"M. Encinosa"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.73.012102",
"title": "Coupling curvature to a uniform magnetic field; an analytic and numerical study",
"url": "https://arxiv.org/abs/quant-ph/0510103"
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